fractal
Perturbation algebra
A collection of rules for deriving perturbed iterations.
The Burning Ship
A fractal like the Mandelbrot set but with absolute values thrown in to the mix.
Iterated function systems with cube maps
Model the whole complex plane via the Riemann sphere as an OpenGL cube map.
Inflector Gadget v0.3.2
Keyframe animation and the return of single precision support with OpenGL 3.3 (OpenGL 4 double precision still an option)
Efficent automated Julia morphing
Nucleus finding, Misiurewicz point finding, and a bit of guesswork, combine for successful O(period) automatic Julia morphing.
A more accurate elliptic variation
Improving image quality by avoiding catastrophic cancellations.
On the precision required for size estimates
Worst-case guess improved by a factor of 8.
Filtered atom domains
Highlighting previously invisible periodic properties in the Mandelbrot set.
Periodicity scan
Finding periodic points in the Mandelbrot set to make annotated images.
Inflector Gadget v0.2
Double precision using OpenGL 4 to avoid postpone ugly artifacts.
Monotone at MADATAC 08
January 12th to February 5th, Centro Conde Duque, Madrid, Spain.
Monotone at Mozilla Festival
Black-and-white flame fractals synchronized with rich ambient drones.
Puzzle on Raspberry Pi
Experimental OpenGL driver used by Pd and Gem with PdLua seems to work mostly fine.
Collatz fractal
Piecewise integer recurrence translated to complex function.
Lyapunov atom domains for negative multibrot sets
Additive blending reveals many things.
mightymandel v16
Sliced rendering, improved glitch correction, reduced video memory usage, and more.
mightymandel v12 - now twice as fast!
Sometimes simple approaches are better.
mightymandel updates galore
Automatic glitch correction, zoom sequence rendering, tiled rendering for high resolution or anti-aliasing, ...
Automatically finding external angles
Trace a number of probe points in the atom domain.
Making seasonal cards with Snowglobe
Combining saved flake images using command line tools.
Exponential mapping with Kalles Fraktaler
From many raw 2fold zoom images to one long strip.
Adaptive super-sampling using distance estimate
Subdivide only near the boundary.
Atom domain size estimation
A series of approximations result in a simple formula.
Distance estimation for Newton fractals
Derived from distance estimation for Julia sets.
A roadmap for distributed Mandelbrot set rendering
Some notes on various aspects of design and potential implementation.